What is the solution for (dy)/(dx)=x^8e^{x^9} ?

The solution for (dy)/(dx)=x^8e^{x^9} is y= 1/9 e^{x^9}+c_{1}

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(dy)/(dx)=x^8e^{x^9}

\frac{d y}{d x} = x^{8} e^{x^{9}}

y = \frac{1}{9} e^{x^{9}} + c_{1}

Solution steps

\frac{d y}{d x} = x^{8} e^{x^{9}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x^{8} e^{x^{9}}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int x^{8} e^{x^{9}} d x

\int x^{8} e^{x^{9}} d x = \frac{1}{9} e^{x^{9}} + c_{1}

y = \frac{1}{9} e^{x^{9}} + c_{1}

What is the solution for (dy)/(dx)=x^8e^{x^9} ?
The solution for (dy)/(dx)=x^8e^{x^9} is y= 1/9 e^{x^9}+c_{1}